Balloons By Sunset (BBS) is considering the purchase of two new
hot air balloons so that it can expand its desert sunset tours.
Various information about the proposed investment
follows:
Initial investment (for two hot air balloons) | $ | 525,000 | |||||
Useful life | 9 | years | |||||
Salvage value | $ | 57,000 | |||||
Annual net income generated | 43,575 | ||||||
BBS’s cost of capital | 10 | % | |||||
Assume straight line depreciation method is used.
Required:
Help BBS evaluate this project by calculating each of the
following:
1. Accounting rate of return. (Round your
answer to 1 decimal place.)
2. Payback period. (Round your answer to 2
decimal places.)
3. Net present value (NPV). (Future Value of $1,
Present Value of $1, Future Value Annuity of $1, Present Value
Annuity of $1.) (Use appropriate factor(s) from the tables
provided. Do not round intermediate calculations. Negative amount
should be indicated by a minus sign. Round the final answer to
nearest whole dollar.)
4. Recalculate the NPV assuming BBS's cost of
capital is 13 percent. (Future Value of $1, Present Value of $1,
Future Value Annuity of $1, Present Value Annuity of $1.)
(Use appropriate factor(s) from the tables provided. Do not
round intermediate calculations. Negative amount should be
indicated by a minus sign. Round the final answer to nearest whole
dollar.)
Ans:
Answer 1.
Average Investment = (Initial
Investment + Salvage Value) / 2
Average Investment = ($525,000 + $57,000) / 2
Average Investment = $288,500
Accounting Rate of Return = Annual
Net Income / Average Investment
Accounting Rate of Return = $43,575 / $288,500
Accounting Rate of Return = 0.1510or 15.1%
Answer 2.
Payback Period = Initial Investment
/ Annual Net Cash flows
Payback Period = $525,000 / $95,575
Payback Period = 5.49 years
Answer 3.
Net Present Value = -$525,000 +
$95,575* PVA of $1 (10%, 9) + $57,000 * PV of $1 (10%, 9)
Net Present Value = -$525,000 + $95,575* 6.1446+ $57,000 *
0.3855
Net Present Value = $84,244
Answer 4.
Net Present Value = -$525,000 +
$95,575* PVA of $1 (13%, 9) + $57,000 * PV of $1 (13%, 9)
Net Present Value = -$525,000 + $95,575* 5.4262 + $57,000 *
0.2946
Net Present Value = $10,401
Notes;
Initial Investment = $525,000
Salvage Value = $57,000
Useful Life = 9 years
Annual Depreciation = (Initial
Investment - Salvage Value) / Useful Life
Annual Depreciation = ($525,000 - $57,000) / 9
Annual Depreciation = $52,000
Annual Net Cash flows = Annual Net
Income + Depreciation
Annual Net Cash flows = $43,575 + $52,000
Annual Net Cash flows = $95,575
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